Least Common Multiple of 4073 and 4077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4073 and 4077 the smallest integer that is 16605621 that is divisible by both numbers.

Least Common Multiple (LCM) of 4073 and 4077 is 16605621.

LCM(4073,4077) = 16605621

LCM of 4073 and 4077

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4073 and 4077

LCM of 4073 and 4077 is 16605621

Least common multiple can be found by multiplying the highest exponent prime factors of 4073 and 4077. First we will calculate the prime factors of 4073 and 4077.

Prime Factorization of 4073


4073 4073
1

Prime factors of 4073 are 4073. Prime factorization of 4073 in exponential form is:

4073 = 40731

Prime Factorization of 4077


3 4077
3 1359
3 453
151 151
1

Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:

4077 = 33×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4073 and 4077.

LCM(4073,4077) = 33×1511×40731
LCM(4073,4077) = 16605621

Factors of 4073

List of positive integer factors of 4073 that divides 4073 without a remainder.

1, 4073

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1, 3, 9, 27, 151, 453, 1359, 4077

Least Common Multiple of 4073 and 4077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4073 and 4077, than apply into the LCM equation.

GCF(4073,4077) = 1
LCM(4073,4077) = ( 4073 × 4077) / 1
LCM(4073,4077) = 16605621 / 1
LCM(4073,4077) = 16605621

Properties of LCM 4073 and 4077

(i) The LCM of 4077 and 4073 is associative

LCM of 4073 and 4077 = LCM of 4077 and 4073

Related Least Common Multiples of 4073

Related Least Common Multiples of 4077

Frequently Asked Questions on LCM of 4073 and 4077

1. What is the LCM of 4073 and 4077?

Answer: LCM of 4073 and 4077 is 16605621.

2. What are the Factors of 4073?

Answer: Factors of 4073 are 1, 4073. There are 2 integers that are factors of 4073. The greatest factor of 4073 is 4073.

3. What are the Factors of 4077?

Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.

4. How to Find the LCM of 4073 and 4077?

Answer:

Least Common Multiple of 4073 and 4077 = 16605621

Step 1: Find the prime factorization of 4073

4073 = 4073

Step 2: Find the prime factorization of 4077

4077 = 3 x 3 x 3 x 151

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16605621 = 3 x 3 x 3 x 151 x 4073

Step 4: Therefore, the least common multiple of 4073 and 4077 is 16605621.